{
  "abstract": "Let $1\\leq m<n$, and let $γ:[0,1]\\to\\mathbb R^n$ be a smooth non-degenerate curve. For $θ\\in[0,1]$, set \\[ V_θ := \\operatorname{span} \\{γ'(θ),\\ldots,γ^{(m)}(θ)\\}, \\] and let $π_θ$ denote the orthogonal projection onto $V_θ$. We prove that if $E\\subset\\mathbb R^n$ is a Borel set with $\\dim_{\\mathrm H}E>m$, then \\[ \\mathcal H^m(π_θ(E))>0 \\] for almost every $θ\\in[0,1]$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.21822",
  "author_total": 2,
  "authors": [
    {
      "name": "Seonghun Jeon"
    },
    {
      "name": "Changkeun Oh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1vha5wzgxtdy0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.21822",
  "fulltext_url": null,
  "id": "1vha5wzgxtdy0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.21822",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7204177051",
  "pdf_url": "https://arxiv.org/pdf/2608.21822",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1vha5wzgxtdy0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2608.21822",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.21822"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Positive measure for restricted projections along smooth non-degenerate curves",
  "title_text": "Positive measure for restricted projections along smooth non-degenerate curves",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/1vha5wzgxtdy0",
  "venue": "arXiv",
  "versions": []
}